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Finding the Fourth Proportional to 561,880.48, 842,821.60 and 229,456.48

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Solution

The fourth proportional to 561,880.48, 842,821.60 and 229,456.48 is: 344,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,880.48 : 842,821.60 = 229,456.48 : x
  2. Step 2: Convert to fraction form
    561,880.48/842,821.60 = 229,456.48/x
  3. Step 3: Cross multiply
    561,880.48x = 842,821.60 × 229,456.48
  4. Step 4: Simplify right side
    561,880.48x = 193,390,877,603.97
  5. Step 5: Solve for x
    x = 193,390,877,603.97/561,880.48
  6. Step 6: Final answer
    x = 344,185.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.